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3 years ago

The ratio of boys to girls at school today 4:7. If there are 350 boys at school today, how many girls are there? Round down

2 answers:

4 0

If we know the ration is 4:7, we know that both 4 an 7 need to be multiplied by the same exact number to equal 350. That leads us to set up the following equation:

4x + 7x = 350

We combine like terms to get:

11x = 350

We divide by 11 on both sides to get:

x= 31.82

7x represents the number of girl so :

7 * 31.82 = 222.72

Because the question says to round down, the answer is 222

Ivanshal [37]3 years ago

3 0

Divide the number of boys to the number on the ratio and find that first go from there

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Please help. Im dying for the explanation. I will mark you brainalist.

AlekseyPX

Step-by-step explanation:

Given that the mean of the numbers is 12

$mean = \frac{sum \: \: of \: observations}{total \: number \: of \: observations}$

so here

let's that one as x and another one as 2x since it is given that one is twice the other

Therefore we get

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2 years ago

Write f(x)=8x^2-4x+11 in vertex form

Vlad [161]

Answer:

$f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}$

$f(x)=8(x-0.25)^{2}+10.5$

Step-by-step explanation:

we have

$f(x)=8x^{2}-4x+11$

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

$f(x)=8(x^{2}-\frac{1}{2}x)+11$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}$

$f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}$

Rewrite as perfect squares

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$f(x)=8(x-0.25)^{2}+10.5$

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